Skip Navigation

Biometrika 1989 76(3):515-526; doi:10.1093/biomet/76.3.515
© 1989 by Biometrika Trust
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by ATKINSON, A. C.
Right arrow Articles by DONEV, A. N.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

The construction of exact D-optimum experimental designs with application to blocking response surface designs

A. C. ATKINSON and A. N. DONEV

Department of Mathematics, Imperial College London SW7 2BZ, U.K.
Department of Automation, Higher Institute of Chemical Technology 1156 Sofia, Bulgaria

The properties of optimum designs are investigated when there are both qualitative and quantitative factors. Algorithms for the construction of exact designs are described, which are of general applicability. The case when the qualitative factors represent blocking variabes is given special treatment; a modified algorithm provides the opportunity to divide the experimental trials into blocks of specified sizes. Examples are given of second-order models in the quantitative factors divided into two or three blocks of a variety of sizes. Use of the adjustment algorithm to improve such designs generated from a list of candidate points is demonstrated.

Key Words: Blocking • D-, Ds-optimum design • Design algorithm • DETMAX • Exact design • Exchange algorithm • KL-exchange • Product design • Qualitative and quantitative factors • Response surface design


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.